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Finding the Third Proportional to 24,520 and 53,764

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Solution

The third proportional to 24,520 and 53,764 is: 117,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,520 : 53,764 = 53,764 : x
  2. Step 2: Convert to fraction form
    24,520/53,764 = 53,764/x
  3. Step 3: Cross multiply
    24,520x = 53,764 × 53,764
  4. Step 4: Simplify right side
    24,520x = 2,890,567,696
  5. Step 5: Solve for x
    x = 2,890,567,696/24,520
  6. Step 6: Final answer
    x = 117,886.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.